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The Model Gallery features COMSOL Multiphysics model files from a wide variety of application areas including the electrical, mechanical, fluid, and chemical disciplines. You can download ready-to-use models and step-by-step instructions for building the model, and use these as a starting point for your own modeling work. Use the Quick Search to find models relevant to your area of expertise, and login or create a COMSOL Access account that is associated with a valid COMSOL license to download the model files.

The thermal stress in a layered plate is studied in this example. A plate consisting of two layers, a coating and a substrate layer is stress and strain free at 800 degrees C. The temperature of the plate is reduced to 150 degrees C and thermal stresses are induced. A third layer, the carrier layer, is added and the thermal stresses in the coating and a substrate layer are added as an initial ...

This example shows how to set up a piezoelectric transducer problem following the work of Y. Kagawa and T. Yamabuchi. The composite piezoelectric ultrasonic transducer has a cylindrical geometry that consists of a piezoceramic layer, two aluminum layers, and two adhesive layers. The system applies an AC potential on the electrode surfaces of both sides of the piezoceramic layer.
The goal is ...

This model analyzes the thermal expansion in a MEMS device, such as a microgyroscope, where thermal expansion should be minimized. The device is made from the copper-beryllium alloy UNS C17500 and uses temperature-dependent material properties from the Material Library.
The purpose of this model is to exemplify the use of the Material Library in COMSOL Multiphysics. This library contains more ...

Silicon micromechanical resonators have long been used for designing sensors and are now becoming increasingly important as oscillators in the consumer electronics market. In this series of models, a surface micromachined MEMS resonator, designed as part of a micromechanical filter, is analyzed in detail.
The Stationary Analysis of a Biased Resonator
model performs a stationary analysis of ...

A surface acoustic wave (SAW) is an acoustic wave propagating along the surface of a solid material. Its amplitude decays rapidly, often exponentially, through the depth of the material.
SAWs are utilized in many kinds of electronic components, including filters, oscillators, and sensors. SAW devices typically apply electrodes to a piezoelectric material to convert an electric signal into a ...

This model shows how to simulate a capacitively actuated surface micromachined accelerometer, using the Electromechanics Interface. It is based on a case study from the book Microsystem Design by Stephen D. Senturia (Kluwer Academic Publishers, 5th Edition, 2003, pages 513-525).

Bulk Acoustic Wave (BAW) resonators can be used as narrow band filters in radio-frequency applications. The chief advantage compared with traditional ceramic electromagnetic resonators is that BAW resonators, thanks to the acoustic wavelength being much smaller than the electromagnetic wavelength, can be made much smaller.
In addition to the desired bulk acoustic mode, the resonator structure ...

This tutorial model shows how a user-defined coordinate system can be used to create any type of directional polarization of a piezoelectric material. Results are shown for the case of radial polarization of a piezoelectric disk. The piezoelectric material is PZT-5H. The example shows a static analysis. Visualization of the cylindrical coordinate system as well as the stress/strain in that system ...

Surface micromachined thin films are often subject to residual stress. This COMSOL Multiphysics example describes a thin film resonator with straight or folded cantilever beam springs. The resonance frequencies of the resonator are affected by thermal stress. Using folded springs relieves this effect.
The example is made up of four models: two thin film resonators with folded cantilever beam ...

Thermoelastic damping, which arises when you subject a material to cyclic stress, is an important factor when designing MEMS resonators. The stress brings about deformation, where materials heat under compressive stress and cool under tensile stress. Thus, due to the resulting heat flux, energy is lost to bring about this damping.
The magnitude of the energy loss depends on the vibrational ...